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Department of Mathematics

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Department of Mathematics

Mathematics is the queen of all sciences. We can neither know things correctly nor can have practical utility of computation unless we have the knowledge of Engineering Mathematics. Since Mathematics has cultural and disciplinary values, it occupies an important place in curriculum and in society also.

Mathematics has the potential to make a significant impact to the advancement of science and engineering. The Engineering Mathematics has wide applications and skills applicable to multidisciplinary technology in a balanced, integrated Engineering curriculum.

Department of Mathematics has well qualified and experienced staff members. The department is recognized as one of its research centres by VTU. The department educates both undergraduate and postgraduate students in Mathematics based on the needs of various disciplines.

In this era of emerging technologies and advanced sciences, developed nations are focusing on applied research by using knowledge linkages between scientists, engineers and researchers. Mathematics forms the backbone for knowledge development not only for scientists but also for engineers. Our focus is to produce engineers equipped with modern mathematics tools with strong understanding towards real world and engineering problems.

Message from HOD

Welcome to the Department of Mathematics, the center of Mathematics research and education at P.A College of engineering established since its inception in 2000.

Our faculties are instrumental in transforming the art of Mathematics into an invaluable tool for solving problems arising in engineering. The department has been proactively training engineering students to have strong Mathematical background so as to enhance and apply their skills to find solutions to their field specific problems

The Department has five faculty members and two research scholars. The Department is committed to excellence in Mathematics by having a VTU recognized research centre programs for meeting scientific and technological challenges faced by the fast paced, science-oriented world of the 21st century. Two candidates completed their research from this research centre. We aim at producing highly skillful and knowledgeable graduates for pursuing careers with academia, industry and government.

Vision Mission

Course Structure

  • Semester 1
  • Advanced Calculus and Numerical Methods (Basic Science Courses)
  • Engineering Chemistry (Basic Science Courses)
  • C Programming for Problem Solving (Engineering Science Courses)
  • Basic Electronics (Engineering Science Courses)
  • Elements of Mechanical Engineering (Engineering Science Courses)
  • Technical English-II (Humanity, Social Science and Management Courses)
  • Semester 2
  • Calculus and Linear Algebra (Basic Science Courses)
  • Engineering Physics (Basic Science Courses)
  • Basic Electrical Engineering (Engineering Science Courses)
  • Elements of Civil Engineering and Mechanics (Engineering Science Courses)
  • Engineering Graphics (Engineering Science Courses)
  • Technical English-I (Humanity, Social Science and Management Courses)

  • Dr. Mitra Kunjaru

    Associate Professor & HOD

    Qualification : M.Sc, Ph.D
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    • Dr. Mitra Kunjaru

    Associate Professor & HOD

    M.Sc, Ph.D

    [email protected]

    Educational Details

    Degree : PMCS
    Year :
    University :
    PG Degree : M.Sc.
    Year :
    University :
    Doctoral Degree : Ph.D.
    Year :
    University :
    Other Degree : MBA
    Year :
    University :

    Specialization Ph.D

    GRAPH THEORY

    Specialization PG

    MATHEMATICS

    Other Specialization

    MBA

    Skill Set

    Completed NPTEL online certification course “DISCRETE MATHEMATICS” with consolidation score of 79%(ELITE) in Jul-Oct 2018.

    Papers Presented in National Conference

    1. Mitra K, B. Sooryanarayana, ChandruHegde, presented a paper on “Anti-Defensive Alliance in Graphs”in theSpecial Symposium in Discrete Mathematics by the Department of Mathematics, Christ (Deemed to be University), Bengaluru, Karnataka on January 19, 2020.
    2. Mitra K, B. Sooryanarayana,“Cluster Defensive Alliancesin some standard Graphical Networks”in the National conference on Graph Theory and Discrete Mathematics-2018 organized by the department of Mathematics, Mangalore University, Mangalagangothri, Mangaluru during February 5-6, 2018.
    3. Mitra K, B. Sooryanarayana, ChandruHegde, “Cluster Alliance number of Standard Graphs”in the National Seminar on Applications of group theory organized by the department of Mathematics, Vivekananda college, Puttur, held on 27thAugust 2016.
    4. Mitra K, B. Sooryanarayana, ChandruHegde, “2- distance defensive alliances in graphs” in the conferenceUGC sponsored two day National Conference on ‘ENERGY OF GRAPHS’ organized by Department of Mathematics, Maharani’s Science College for Women, Mysuru in association with the department of studies in Mathematics , University of Mysore, at B.N. Bahadur Institute of Management Sciences ,Manasagangothri,Mysuruon11-12, March 2016.

    Papers Presented in International Conference

    1. Mitra K, B. Sooryanarayana, ChandruHegde, “2-Strong Defensive Alliance Number in Graphs”in the Two Day International Conference on Mathematical Computer Engineering  organized by the Mathematics Division, School of Advanced Sciences (SAS) VIT, Chennai, India during February 23-24, November 2018.
    2. Mitra K, B. Sooryanarayana, ChandruHegde, “Cluster Defensive Alliancesin Power Graphs”in the International conference on Discrete Mathematics and its applications organized by the department of Mathematics, ManonmaniamSundaranar University, Tirunelveliduring January 18-20, 2018.

    Workshop Attend

    1. Participated in 5 days Training program on “Outcome based Education & NBA Accreditation” during 30 December 2019 to 3 January 2020 at Mangalore Institute of Technology & Engineering, Mangalore organized by Department of Civil Engineering and sponsored by VTU-TEQIP 1.3.
    2. Participated in 7 days “Faculty Development Program for Student Induction (FDP-SI)” during 18-24June 2019 at Sahyadri College of Engineering & Management, Mangaluru organized by All India Council for Technical Education(AICTE).
    3. Participated in 3 days “Faculty Development Program for Student Induction (FDP-SI)” during 14-16 May 2019 at Mangalore Institute of Technology & Engineering, Mangalore organized by All India Council for Technical Education(AICTE).
    4. Attended workshop on “New Model Curriculum for first year BE/B.Tech-CBCS Detailed syllabus (2018-19) as per outcome-based Education (OBE) format including Course Outcomes (CO) and Bloom Taxonomy”  under TEQIP-1.3 for the course Mathematics Board held on 19, May 2018 organized by Visvesvaraya technological University, Belgavi.
    5. Attended one day Faculty Development Programme on “Understanding and Dealing with Adolescents” at P A College of Engineering, Mangaluru on February 7th 2018.
    6. Attended one day Special Lecture series on “Recent Developments in Modeling and its Applications”jointly organized by Department of Mathematics and Statistics, Mangalore University on 5th December,2017
    7. Attended three days workshop on “Research Methodology & Latex” from 21-23 September, 2017 at Vivekananda College of Engineering and Technology, Puttur in association with Visvesvaraya Technological University, Belagavi.
    8. Attended “Explore Your Mind” –A Mind Mastery Programme Organized by Sadhana Academy held on 16th July, 2017.
    9. A research paper titled 'Students t-test to assess the role of aptitude classes for Placement among Engineering students', has been published in the International Journal of Research in Economics and Social sciences, Volume 6, Issue 3, ISSN No- 2249-7382 with an impact  factor of 6.225 which is indexed by Thomson Reuters Researchers Indexed Journal. 
    10. “PRAJNA”-a symposium for college faculties at Ramakrishna Matt, Mangalore on 11 sept.2015
    11. Ethnus Training program on ‘Aptitude’ at  Sahyadri Campus on 17-21 Aug,2015
    12. “Born to win” three days work shop at Sahyadri Campus on 10,11 July,2015
    13. 23rd international Conference of FIM on “ Interdisciplinary Mathematical, Statistical and Computational Techniques” on 18-20 Dec,2014at NITK, Surathkal
    14. FDP on “Understanding Self and Interpersonal Relationships” by Prof. Chandrashekar held at SCEM-Mangalore 21st to 23rd of July, 2014
    15. Work Shop on “Research Methodology” held at NAMAMIT-Nitte   on 16th  December-2010.
    16. UGC-DST sposered on “CURRENT TRENDS OF DISCREATE MATHEMATICS IN SCIENCE AND SOCIAL SYSTEM” held on 26th-28th-2009 at Govinda Das College-Surathkal
    17. Staff development programme at NMAMIT- Nitte on 28th -30th July 2008.

    Details of membership in Professional bodies

    MISTE

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  • Mrs. Sumangala Rao

    Assistant Professor

    Qualification : M.Sc
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    • Mrs. Sumangala Rao

    Assistant Professor

    M.Sc

    [email protected]

    Educational Details

    Degree : B.Sc (Physics, Chemistry , Mathematics)
    Year : 2004
    University : mangalore university
    PG Degree : M.Sc
    Year : 2006
    University : Mangalore university
    Other Degree : DCA
    Year :
    University :

    Teaching Experience

    14 Years

    Specialization PG

    Mathematics

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  • Mrs. Savitha Rai K

    Assistant Professor

    Qualification : M.Sc
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    • Mrs. Savitha Rai K

    Assistant Professor

    M.Sc

    [email protected]
    CALCULUS AND LINEAR ALGEBRA, ADVANCED CALCULUS AND NUMERICAL METHODS TRANSFORM CALCULUS AND FOURIER SERIES DISCRETE MATHEMATICAL STRUCTURES

    Educational Details

    Degree : B.Sc
    Year : 2002
    University : Mangalore
    PG Degree : M.Sc
    Year : 2004
    University : Mangalore
    Other Degree : B.Ed
    Year : 2011
    University : Mangalore

    Teaching Experience

    14 Years

    Specialization PG

    MATHEMATICS

    Other Specialization

    TEACHING METHADOLOGY OF MATHEMATICS AND PHYSICS in B.Ed.

    Subjects teaching at Under Graduate level

    Engineering mathematics I , II, III, IV

    Workshop Attend

    1. Participated in one day international workshop on “ RESEARCH, WRITING AND PUBLICATIONS IN REPUTED JOURNALS” on 27/02/2019
    2. Participated in the faculty development programme on 7/02/2018 at PACE titled “ UNDERSTANDING AND DEALING WITH ADOLESCENTS”.
    3. Participated in the faculty development programme held at PACE titled “ORGANIZING LEARNING”
    4. Participated in the faculty Enablement programme on “REACH, TOUCH and TEACH- Mastering the Art of Counselling” held on 14 th march 2015 at PACE
    5. Participated in the faculty Enablement programme on “TECHNICAL WRITING, PREPARING RESEARCH PROPOSALS AND APPLYING FOR RESEARCH FUNDS”- held on 14 th march 201 6at PACE

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  • Mr. Abdul Majeed

    Assistant Professor

    Qualification : M.Sc
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    • Mr. Abdul Majeed

    Assistant Professor

    M.Sc

    [email protected]

    Educational Details

    Degree : BSc computerscience
    Year : 2005
    University : Kuvempu University
    PG Degree : MSc Mathematics
    Year : 2007
    University : Kuvempu University

    Teaching Experience

    13 Years

    Industry Experience

     1 year

    Specialization PG

    Pure mathematics

    Subjects teaching at Under Graduate level

    Engineering Mathematics 1 , II, III, IV

    Technical Interest

    C, C++, java, Oracle

    Awards and Achivements

    Best Teacher award 2014 at BIT, Mangalore

    Administrative Responsibilities

    First year coordinator, head of the department mathematics , first year HOD  at PACE, Mangalore 

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  • Ms. Sowmya Shetty

    Assistant Professor

    Qualification : M.Sc
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    • Ms. Sowmya Shetty

    Assistant Professor

    M.Sc

    [email protected]

    Educational Details

    Degree : B SC
    Year : 2012
    University : MANGALORE UNIVERSITY
    PG Degree : M SC
    Year : 2014
    University : MANGALORE UNIVERSITY
    Other Degree : B ED
    Year : 2020
    University : BANGALORE UNIVERSITY

    Teaching Experience

    6.5 YEARS

    Specialization PG

    MATHEMATICS

    Technical Interest

    C, C++, java, Oracle

    International journals

    Title of the Paper 
    n RHF and Bernoulli Polynomial for the numerical solution of differential equations

    Authors
    Anjum Khan Basit Ali
    Reshamwale Sharan Hegde

    Name of the Journal & Publisher
    IJSEM
    Vol.9 &ISSN : 2456-
    1304
    September &2022

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  • Mrs. Asha Saraswathi B.

    Assistant Professor

    Qualification : M.Sc, (Ph.D)
    read more

    • Mrs. Asha Saraswathi B.

    Assistant Professor

    M.Sc, (Ph.D)

    [email protected]
    CALCULUS AND LINEAR ALGEBRA, ADVANCED CALCULUS AND NUMERICAL METHODS TRANSFORM CALCULUS AND FOURIER SERIES DISCRETE MATHEMATICAL STRUCTURES, GRAPH THEORY

    Educational Details

    Degree : B.Sc. (Stats,Maths,computer )
    Year : 2003
    University : Mangalore University
    PG Degree : M.Sc. ( Mathematics )
    Year : 2005
    University : Mangalore University
    Other Degree : SLET QUALIFIED
    Year : 2013
    University :

    Teaching Experience

    15 Years

    Specialization Ph.D

    LATTICE THEORY & GRAPH THEORY

    Specialization PG

    MATHEMATICS

    Other Specialization

    Qualified in Karnataka State Eligibility Test (KSET) for Lecturer/Assistant Professorship in Mathematical Science, conducted by KSET center, Mysore(Accredited by UGC), held in the month of Dec. 2013

    Subjects teaching at Under Graduate level

    Engineering Mathematics-I ,II,III,IV,
    Graph Theory and Combinatorics, Discrete Mathematics

    International journals

    3

    Papers Presented in National Conference

    2

    Workshop Attend

    1. Presented a research paper in the UGC Sponsored Two Day “National Conference” held at Government Science College, Nrupathunga Road, Bangalore on 9th and 10th February 2017
    2. Participated in Three-Day  Workshop on “Research methodologies and Latex”      organized by VTU e- Learning Centre, Mysuru from 21st  to 23rd  May, 2015 at VTU Regional Office, Bengaluru. 
    3. Participated in two days National Conference on “Recent Trends in Graph    Theory and its Applications”(NCRTGTA-2015) held at Department of Mathematics, Mangalore University, Mangalagangothri, Mangalore on 5th-6th  of February 2015.
    4. Presented a paper in the National Conference on current Trends in Scientific Research for Engineering Applications [NCSEA-2014] organized by the Department of science ,SJEC,Vamanjoor on 17-18,july 2014.
    5. Participated in one day international workshop on “RESEARCH, WRITING AND PUBLISHING IN REPUTED JOURNALS” organized by Centre Of Excellence For Research Innovation & Entrepreneurship in association with ISTE PACE CHAPTER on 27 July 2019.
    6. Participated in the faculty Enablement programme on “Collective Wisdom-A Better P.A.C.E” held on 7th  and 9th September 2015 at  P. A. College of engineering.
    7. Participated in 2 days workshop “GOOGLE Apps For Education ” on 19th and 20th  of September 2014 at  P. A. College of engineering.
    8. Attended the Two days workshop on “Synergy in Engineering and Mathematics” held at Shree Devi Institute Of Technology on 29th and 30th August 2013.

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  • Rajeshwari Shibaraya

    Assistant Professor

    Qualification : M.Sc (Ph.D)
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    • Rajeshwari Shibaraya

    Assistant Professor

    M.Sc (Ph.D)

    [email protected]

    Educational Details

    Degree : B.Sc
    Year : 2002-2005
    University : Mangalore university
    PG Degree : M.Sc
    Year : 2006-2007
    University : Mangalore university
    Doctoral Degree : -- on going--
    Year : 2020- till date
    University : Srinivas university

    Teaching Experience

    15

    Research Experience

    4

    Specialization Ph.D

    Graph Theory

    Specialization PG

    Mathematics

    Subjects teaching at Under Graduate level

    1. Enginnering Math-1 2. Engineering maths-2, 3. Engineering maths-3, 4. engineering maths-4, 5. Discrete mathematics, 6. Number theory
    1.Engineering maths 1

    International journals

    1. Rajeshwari shibaraya, Basavaraju G C, Anant kumar kulkarni and Vishu kumar M, “Metro domination number of diamond snake graph”, International journal for research trends and  innovation, Vol.7,Issue 3
    2. Rajeshwari shibaraya, Basavaraju G C, Anant kumar kulkarni , Lakshminarayana S and Vishu kumar M, “On the K- Metro domination number of Triangular Ladder Graph”, Journal of Harbin Engineering University, Vol.44,No.8,(2023), Issue 8
    3. Rajeshwari shibaraya, Basavaraju G C, T Rammi Reddy, Anant kumar kulkarni and Vishu kumar M, “On the K- Metro domination number of open Triangular Ladder Graph”,  Tuijin Jishu/Journal of Propulsion Technology, ISSN: 1001-4055, Vol. 44 No. 5 (2023)

    Papers Presented in National Conference

    1. national conference on “Research in higher education, learning and administration” at, Mangalore from 15th June, 2019. 
    2. national conference on “Research in higher education, learning and administration” at, Mangalore from 15th June, 2019. 
    3. paper on the topic “Signed semi graphs” in national conference held at Milagres College, Kallianpur, and Udupi from 17th-18th July

    Papers Presented in International Conference

    Published international conference paper “ On the K-metro domination of triangular ladder graph” at SIT Mangalore on 22-23 June 2023

    Workshop Attend

    1. Attended a workshop on “Semi graphs” at Reva institute of technology and Management, Bangalore from 5th- 9th June
    2. Work shop on “Faculty development program” held on 22-23rd June 2018 at Srinivas university, Pandeshwar
    3. Attended 7 days national level workshop on “Research and Publication Ethics” organized by Srinivas university , from 8-15th February 2021
    4. Work shop on “Research Methodology” organized by Srinivas University, on 13-14th December 2019
    5. Attended 5 days national level workshop on “ Recent trends in Domination and Graph labeling” organized by Ramanujan College, University of Delhi collaboration with ADMA from 27-31th May 2021.
    6. Attended 5 days national level workshop on “Maxima and Sage math” organized by Alva’s institute of engineering and Technology, from 21-25th September 2021.

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  • Ms. Shrinidhi

    Assistant Professor

    Qualification : MSc.Mathematics
    read more

    • Ms. Shrinidhi

    Assistant Professor

    MSc.Mathematics

    [email protected]

    Educational Details

    Degree : BACHELOR IN SCIENCE
    Year : 2017
    University : ST.AGNES COLLEGE, MANGALORE
    PG Degree : MSc. MATHEMATICS
    Year : 2019
    University : ST.ALOYSIUS COLLEGE, MANGALORE

    Teaching Experience

    3.5

    Specialization PG

    MATHEMATICS

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International Journal Papers

Asha Saraswathi B. and Lavanya S., “On the Lattice of Convex Edge sets of a Connecteddirected graph“,International Journal of Pure and Applied Mathematical Sciences. ISSN 0972-9828 vol. 8, no. 2, pp. 155-161, ISSN 0972-9828, 2015
Girishkumara R, Lavanya S, “On the lattice of convex sets and path sets of a connected graph”,International journal of mathematics Research, vol. 7, no. 2, pp.197-202. ISSN0976-5840, 2015.

International Journal Papers

International Journal Papers

S. Lavanya, “On the lattice of path sets of a connected graph”, Indian journal of mathematics research, vol 1, no 2, pp. 219-222. 2013, ISSN:2347-3045.

International Journal Papers

Ismail B and Anjum Khan, “Image De-noising with a new threshold value“, Journal of data Science, vol 10, pp. 259-270. ISSN: 1683-8602, 2012.
Ismail B and Anjum Khan, “Image De-noising with Stationary Wavelet transform“, Journal of wavelet theory and applications, vol 5, no. 1, pp. 9-14, ISSN: 0973-6336, 2012
Ismail B and Anjum Khan, “Detection of jump and cusp using Haar wavelets in a regression function“, vol. 6, no 2, pp. 105-110. ISSN: 0973-6336, 2012

International Journal Papers

S. Lavanya and S. Subramanya Bhat, “On the lattice of convex sets of a connected graph”, Global journal of pure and applied Mathematics, vol7, no. 2, pp. 157-162. 2011, ISSN 0973-1768.

International Journal Papers

Ismail B and Anjum Khan, “A New threshold value in the curve estimation by wavelet Shrinkage“, Proceedings of the ICCS_X Tenth Islamic conference on Statistical Science, vol. 2, pp. 786-795, 2010.

International Journal Papers

S. Lavanya and S. Parameshwara Bhatta, “Finite distributive lattices which are isomorphic to direct products of chains”, Algebra Universalis, ISSN 0002-5240. (ISI indexed Journal- Impact Factor 0.44) vol. 37, pp. 448-457. 1997
S. Lavanya and S. Parameshwara Bhatta, “On an ordering of convex sublattices preserving planarity of the lattice”, JCMCC, ISSN 0835-3026 (Scopus indexed Journal) vol. 23, pp. 230-249. 1997.
S. Lavanya and S. Parameshwara Bhatta, “A new approach to the lattice of convex sublattices of a lattice”, Algebra Universalis, ISSN 0002-5240 (ISI indexed Journal- Impact Factor 0.44) vol. 35, pp. 63-71, 1996,
S. Lavanya and S. Parameshwara Bhatta, “A new ordering on the set of all sublattices of a Lattice”, SEA Bull Math, vol.18, no.2, pp. 43-49. 1994, ISSN 0218-0006.

International Conferences Papers

Ismail B. and Anjum Khan (2011). Image thresholding using discrete wavelet transform. Presented at XXXI Annual Convention of Indian Society for Probabilities and Statistics (ISPS) and International Conference on Statistics, Probability and related areas. CUSAT, Cochin. December 2011.
Ismail, B. and Anjum Khan (2011).” Image denoising with a new threshold value using wavelets”. Presented at International Conference on Actuarial Statistics Biostatistics and Stochastic modeling. Kannur University, Kannur. January 2011.
Ismail, B. and Anjum Khan (2011).” Image denoising with stationary wavelet transform”. Presented at National Conference on Modern Trend in Science and Technology. M V Shetty Institute of Technology, Moodbidri. October 2011.
Ismail, B. and Anjum Khan (2011).” Detection of jump and cusp using Haar wavelets in a regression function”. Presented at National Conference on Recent Developments in Statistics, Gulbarga university, Gulbarga. September 2011.

International Conferences Papers

Ismail, B. and Anjum Khan (2009). “A new threshold value in curve estimation by wavelet shrinkage”. Presented at ICCS-X, Tenth Islamic Conference on Statistical Science, Cairo, Egypt, December 2009.

Research Interested Groups

Themes Ongoing Projects
Lattice Theory Construction of lattices from Graphs
Special functions Studies on hyper geometric functions.
Wavelet theory Applications of wavelet in non- parametric regressions

Research Interested Groups

Sl. No. Name of Scholar USN University Registration Year Name of Supervisor Final Defense Date
1 ASHA SARASWATHI B. 4PA13PGN04 VTU 2013 DR. LAVANYA S. Dec 2020
2 PAVITRA SHANBHAG 4PA13PGN05 VTU 2013 DR. LAVANYA S. Oct 2020

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